Greatest Common Factor of 286/68, 189/6928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 286/68, 189/6928

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 286/68,189/6928

Given fractions are 286/68,189/6928

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 286,189

Greatest Common Factor of Numerators i.e. GCF of 286,189 is 1 .

LCM of Denominators means LCM of 68,6928 as per the given fractions.

LCM of 68,6928 is 117776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 286,189

GCF of Fractions 286/68,189/6928 is 1/117776

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 286,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,189 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 286,189 . The biggest common factor number is the GCF number.
So the greatest common factor 286,189 is 1.

Lets's calculate LCM of 68,6928

2 68, 6928
2 34, 3464
17, 1732

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1732 = 117776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117776

Therefore, the GCF of Fractions 286/68,189/6928 is 1/117776

Least Common Multiple of 68,6928 with GCF Formula

Least Common Multiple of 68,6928 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 68,6928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,6928) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(68,6928) x common factors =4 x 1 = 4

LCM(68,6928) = ( 68 × 6928 ) / 4

LCM(68,6928) = 471104 / 4

LCM(68,6928) = 117776


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 286/68, 189/6928

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 286/68, 189/6928?

Answer: GCF of Numerators as per given numbers 286/68, 189/6928 is

GCF of Numerators i.e. for 286,189 is 1

LCM of denominators i.e. for 68,6928 is 117776.

Thus, GCF of Fractions is 1/117776.Finally, GCF of Fractions for 286/68, 189/6928 is 1/117776.